Answer:
FV = $16126.99655 rounded off to $16127
Explanation:
To calculate the future value of a sum of money, we simply multiply the present value by (1 + interest rate) for the period of time that we require the amount to be compounded. Thus, the formula for the future value of a sum of amount with annual compounding is,
FV = P * (1+i)^t
Where,
- FV is future value
- PV is present value
- i is the interest rate
- t is the period of time
For semi annual compounding, we simply divide the annual i by 2 and multiply the t by 2. So, Future value of an amount with semi annual compounding will be,
FV = P * (1 + i/2)^t*2
FV = 12000 * (1 + 0.06/2)^5*2
FV = 12000 * (1+0.03)^10
FV = $16126.99655 rounded off to $16127
Answer:
See complete table below for answer.
Explanation:
Answer:
PV= $31,794.12
Explanation:
Giving the following information:
Monthly payment= $600
Number of months= 5*12= 60 months
Interest rate= 0.05/12= 0.004167
<u>To calculate the present value of the monthly payments, we need to use the following formula:</u>
PV= A*{(1/i) - 1/[i*(1 + i)^n]}
A= monthly payments
PV= 600*{(1/0.004167) - 1/ [0.004167*(1.004167^60)]}
PV= $31,794.12
Answer:
the actual total direct labor cost for the current period is $425,285
Explanation:
<u>Reconciling Standard Cost to Actual Cost</u>
Standard Cost $419,000
<em>Add</em> Unfavorable direct labor rate variance $10,475
<em>Less</em> Favorable direct labor efficiency variance ($4,190)
Actual Cost $425,285
